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Question

A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm such that it touches the bottom. Find the volume (in cubic meter) of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.
(Insert answer in nearest integer)

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Solution

Volume of water left in the cylinder=Volume of cylinder Volume of cone
=πr2h13πr2h

=π(60)2(180)13π(60)2(120)

=2036571.43452571.43=1584000cm3
=1.584m3
=2m3

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